Answer:
Since segregation laws did not provide equal protections or liberties to non-whites, the ruling was not consistent with the 14th Amendment.
Step-by-step explanation:
In the Plessy v. Ferguson Case (1896), the Supreme Court ruled that racially segregated public facilities were legal because they did not imply any inequality toward African Americans: they were consistent to the doctrine of "separate but equal."
However, this decision was later rendered invalid in the Brown v. Board of Education Case (1954) which proved that segregation laws did not provide equal protections or liberties to non-whites: the facilities were unequal and they were a form of discrimination. Thus, those segregation laws violated the equal protection of the laws stated in the 14th Amendment.